TY - JFULL
AU - Betül Gezer and Ahmet Tekcan and Osman Bizim
PY - 2008/8/
TI - The Number of Rational Points on Elliptic Curves and Circles over Finite Fields
T2 - International Journal of Mathematical and Computational Sciences
SP - 476
EP - 482
VL - 2
SN - 1307-6892
UR - https://publications.waset.org/pdf/12784
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 19, 2008
N2 - In elliptic curve theory, number of rational points on
elliptic curves and determination of these points is a fairly important
problem. Let p be a prime and Fp be a finite field and k ∈ Fp. It
is well known that which points the curve y2 = x3 + kx has and
the number of rational points of on Fp. Consider the circle family
x2 + y2 = r2. It can be interesting to determine common points of
these two curve families and to find the number of these common
points. In this work we study this problem.
ER -